Question: 7-24. Consider a simple plane pendulum consisting of a mass m attached to a string of length . After the pendulum is set into motion,

7-24. Consider a simple plane pendulum consisting of a mass m attached to a string of length . After the pendulum is set into motion, the length of the string is short- ened at a constant rate al = -a = constant at The suspension point remains fixed. Compute the Lagrangian and Hamiltonian functions. Compare the Hamiltonian and the total energy, and discuss the conser- vation of energy for the system

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